Average Test-1 (Calculating average of given set of data)

Answer: Option D

Explanation

Given body wieght of seven students= 54 kg, 78 kg, 43 kg, 82 kg, 67 kg, 42 kg, 75 kg

We know the formula,

 $\mathrm{Average} \left(\mathrm{A}\right)=\frac{\mathrm{Sum} \mathrm{of} \mathrm{given} \mathrm{values} \left(\mathrm{S}\right)}{\mathrm{Total} \mathrm{number} \mathrm{of} \mathrm{values} \left(\mathrm{N}\right)}$

 Here,

 Sum of given body wieghts (S)

= 54+78+43+82+67+42+75

= 441

Total number of students (N)= 7

Substituting these values we get (A),

 $= \frac{441}{7}=63$

Hence, Option D is correct.

Answer: Option B

Explanation

Given set of scores= 253, 124, 255, 534, 836, 375, 101, 443.

We know the formula,

 $\mathrm{Average} \left(\mathrm{A}\right)=\frac{\mathrm{Sum} \mathrm{of} \mathrm{given} \mathrm{values} \left(\mathrm{S}\right)}{\mathrm{Total} \mathrm{number} \mathrm{of} \mathrm{values} \left(\mathrm{N}\right)}$

 Here,

 Sum of given values(S)

=253+124+255+534+836+375+101+443

= 515

Total number of values(N)= 8

Substituting these values we get (A),

 $= \frac{515}{8}=64.3$

Hence, Option B is correct.

Answer: Option A

Explanation

Explanation

Given height of six students= 144 cm, 158 cm, 172 cm, 160 cm, 132 cm, 182 cm

We know the formula,

 $\mathrm{Average} \left(\mathrm{A}\right)=\frac{\mathrm{Sum} \mathrm{of} \mathrm{given} \mathrm{values} \left(\mathrm{S}\right)}{\mathrm{Total} \mathrm{number} \mathrm{of} \mathrm{values} \left(\mathrm{N}\right)}$

 Here,

 Sum of given values(S)

=144+158+172+160+132+182

= 948

Total number of values(N)= 6

Substituting these values we get (A),

 $= \frac{948}{6}=158 \mathrm{cm}$

Hence, Option A is correct.

Answer: Option C

Explanation

Explanation

Given height of six students= 304, 208, 162, 110, 154, 316, 242, 216

We know the formula,

 $\mathrm{Average} \left(\mathrm{A}\right)=\frac{\mathrm{Sum} \mathrm{of} \mathrm{given} \mathrm{values} \left(\mathrm{S}\right)}{\mathrm{Total} \mathrm{number} \mathrm{of} \mathrm{values} \left(\mathrm{N}\right)}$

 Here,

 Sum of given values(S)

=304+208+162+110+154+316+242+216

= 1712

Total number of values(N)= 8

Substituting these values we get (A),

 $= \frac{1712}{8}=214$

Hence, Option C is correct.

Answer: Option A

Explanation

Given set of scores= 313, 252, 161, 727, 515, 818

We know the formula,

 $\mathrm{Average} \left(\mathrm{A}\right)=\frac{\mathrm{Sum} \mathrm{of} \mathrm{given} \mathrm{values} \left(\mathrm{S}\right)}{\mathrm{Total} \mathrm{number} \mathrm{of} \mathrm{values} \left(\mathrm{N}\right)}$

 Here,

 Sum of given values(S)

=313+252+161+727+515+818

= 1393

Total number of values(N)= 6

Substituting these values we get (A),

 $= \frac{1393}{6}=464.3$

Hence, Option A is correct.